Parallel lines never intersect and remain equal distance from each other but perpendicular lines intersect at right angles
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Two planes are parallel if the perpendicular distance between them remains constant. This is not a British definition but a mathematical definition and so is valid everywhere.
Parallel lines are two 1-dimensional objects that do not meet. Parallel planes are two 2-dimensional objects that do not meet.
...parallel to each other.
Parallel, Perpendicular, and Planes.
It is the section of a cone between two parallel planes that are perpendicular to the axis of the cone. In simpler terms, it is what is left of a solid cone when the pointed end is cut off.